516-0003/01 – Photonic crystals and matamaterials (FKM)

Gurantor departmentInstitute of PhysicsCredits10
Subject guarantordoc. Dr. Mgr. Kamil PostavaSubject version guarantordoc. Dr. Mgr. Kamil Postava
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2012/2013Year of cancellation2015/2016
Intended for the facultiesUSP, HGFIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
POS40 doc. Dr. Mgr. Kamil Postava
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 0+0
Combined Examination 0+0

Subject aims expressed by acquired skills and competences

The courses includes optics of periodic systems, effects in photonic crystals, band gap, effects of cavities. It is based on Maxwell theory of electromagnetic field in periodic structures in analogy with description of electron states in periodic crystals. Description includes periodic multilayer system (1D photonic crystal), two-dimensional, and three-dimensional periodic systems. Second part of the courses consists description using effective medium theory of periodic and aperiodic heterogeneous materials, that exhibit unusual optical properties. Description is focused on metamaterials – effective materials with negative refractive index, special optical anisotropy, chirality, and special spectral and polarization properties.

Teaching methods

Lectures
Seminars
Individual consultations

Summary

1. Maxwell theory, periodic system boundary conditions of Maxwell equations, description of material properties, propagation of plane waves Bloch theorem, boundary conditions in periodic structures periodic multilayer system, matrix description, Chebyshev polynomials, forbiden bandgap 2D and 3D periodic systems, methods of solution 2. Photonic periodic structures photonic crystal, analogy with solid state crystals, band diagram 2D photonic crystalsy, systém of holes with square and hexagonal symmetry complete forbiden bangap, 3D photonic crystals cavity in photonic crystals and propagation of light in photonic crystals 3. Metamaterials effective medium theory, basic approxinmation for description of spherical particles generalized effective medium theories – anisotropic medium, ellipsoidal particles, multilayer particles negative refractive index, electric and magnetic resonances special anisotropic metamaterials, chiral metamaterials 4. Recent and potencial future applications of photonic crystals and metamaterials preparation of photonic crystals and metamaterials, using litography of thin films, self assembled systems Fabry-Perot interference filters and modulators light modulation, waveguides based on photonic crystals, magneto-optical nonreciprocal photonic devices application of negative refractive index, evanescent waves and ideal image, metamaterials in microwave and their applications new materials in optics, anisotropic and chiral materials

Compulsory literature:

J.M. Lourtioz, H. Benisty, V. Berger, J.-M. Gerard, D. Maystre, A. Tchelnokov, Photonic Crystals: Towards Nanoscale Photonic Devices, Springer 2005. J.D. Joannopoulos, R.D. Meade, J.N. Winn, Photonic crystals: Molding the flow of light, Princeton University Press 1995. K. Inoue, K. Ohtaka (Eds.), Photonic Crystals: Physics, fabrication and applications, Springer 2004. A.K. Sarychev, V.M. Electrodynamics of Metamaterials, World Scientific 2007. V.M. Shalaev, Optical properties of nanostructured and random media, Springer 2002.

Recommended literature:

papers in international journals

Way of continuous check of knowledge in the course of semester

tutorials, examination

E-learning

Další požadavky na studenta

Understand fundamentals of optics of periodic systems, effects in photonic crystals, band gap, effects of cavities. It is based on Maxwell theory of electromagnetic field in periodic structures in analogy with description of electron states in periodic crystals. Description includes periodic multilayer system (1D photonic crystal), two-dimensional, and three-dimensional periodic systems. Second part consists description using effective medium theory of periodic and aperiodic heterogeneous materials, that exhibit unusual optical properties. Description is focused on metamaterials – effective materials with negative refractive index, special optical anisotropy, chirality, and special spectral and polarization properties.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Maxwell theory, periodic system boundary conditions of Maxwell equations, description of material properties, propagation of plane waves Bloch theorem, boundary conditions in periodic structures periodic multilayer system, matrix description, Chebyshev polynomials, forbiden bandgap 2D and 3D periodic systems, methods of solution 2. Photonic periodic structures photonic crystal, analogy with solid state crystals, band diagram 2D photonic crystalsy, systém of holes with square and hexagonal symmetry complete forbiden bangap, 3D photonic crystals cavity in photonic crystals and propagation of light in photonic crystals 3. Metamaterials effective medium theory, basic approxinmation for description of spherical particles generalized effective medium theories – anisotropic medium, ellipsoidal particles, multilayer particles negative refractive index, electric and magnetic resonances special anisotropic metamaterials, chiral metamaterials 4. Recent and potencial future applications of photonic crystals and metamaterials preparation of photonic crystals and metamaterials, using litography of thin films, self assembled systems Fabry-Perot interference filters and modulators light modulation, waveguides based on photonic crystals, magneto-optical nonreciprocal photonic devices application of negative refractive index, evanescent waves and ideal image, metamaterials in microwave and their applications new materials in optics, anisotropic and chiral materials

Conditions for subject completion

Full-time form (validity from: 2013/2014 Winter semester, validity until: 2015/2016 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2015/2016 (P3942) Nanotechnology (3942V001) Nanotechnology P Czech Ostrava Choice-compulsory study plan
2015/2016 (P3942) Nanotechnology (3942V001) Nanotechnology K Czech Ostrava Choice-compulsory study plan
2014/2015 (P3942) Nanotechnology (3942V001) Nanotechnology P Czech Ostrava Choice-compulsory study plan
2014/2015 (P3942) Nanotechnology P Czech Ostrava Choice-compulsory study plan
2014/2015 (P3942) Nanotechnology (3942V001) Nanotechnology K Czech Ostrava Choice-compulsory study plan
2013/2014 (P3942) Nanotechnology (3942V001) Nanotechnology P Czech Ostrava Choice-compulsory study plan
2013/2014 (P3942) Nanotechnology (3942V001) Nanotechnology K Czech Ostrava Choice-compulsory study plan
2012/2013 (P3942) Nanotechnology (3942V001) Nanotechnology P Czech Ostrava Choice-compulsory study plan
2012/2013 (P3942) Nanotechnology (3942V001) Nanotechnology K Czech Ostrava Choice-compulsory study plan

Occurrence in special blocks

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